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1 положение
1. с. location, position2. с. condition, state3. с. postulate, proposition, statementСинонимический ряд:1. поза (сущ.) поза2. тезис (сущ.) теза; тезис; тезу -
2 доказать положение
1) General subject: make a point2) Makarov: demonstrate a propositionУниверсальный русско-английский словарь > доказать положение
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3 доказать утверждение
1) Mathematics: establish the assertion2) Makarov: demonstrate a propositionУниверсальный русско-английский словарь > доказать утверждение
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4 доказывать
(= доказать, обосновать, показать, см. также проверять) prove, demonstrate, show, establish• В качестве более сложного примера мы докажем, что... - As a slightly harder example we prove that...• В общем случае можно доказать, что... - In general, it is possible to prove that...• В результате теперь достаточно лишь доказать, что... - Consequently it is enough to prove that...• Вдобавок можно доказать, что... - In fact it can be proved that...• Гильберт был первым, кто доказал, что... - Hilbert was the first to prove that...• Для того, чтобы доказать этот результат, мы должны, во-первых, вычислить... - In order to prove this result we must first calculate...• Докажем теперь обобщение теоремы 1. - We now prove a generalization of Theorem 1.• Полезность данной теории еще необходимо доказать. - The utility of this theory has yet to be demonstrated.• Иногда весьма трудно доказать, что... - It is sometimes quite difficult to prove that...• Исходя из этих сведений, легко доказать, что... - From these facts it is easy to prove that...• Итак, мы уже доказали, что... - We have thus proved that...• Мы все еще должны доказать, что... - We still must show that...• Мы докажем эту теорему при дополнительном предположении, что... - We prove this theorem subject to the extra assumption that...• Мы докажем, что... - We deduce that...• Мы доказали следующий результат. - We have proved the following result.• Мы можем доказать правильность соотношения (6), заметив, что... - We can prove the correctness of (6) by observing that...• Мы можем доказать это без (особого) труда. - We can prove this without difficulty.• Мы надеемся доказать гипотезу Смита в ближайшие годы. - We hope to prove Smith's conjecture within a few years.• Мы надеемся доказать, что... - We hope to prove that...• Мы надеемся удалить эти ограничения и доказать более общий результат. - We hope to remove these restrictions and prove a more general result.• Мы надеемся, что кто-нибудь докажет гипотезу Смита в ближайшие годы. - We hope that someone will prove Smith's conjecture within the next few years.• Мы не будем доказывать здесь чрезвычайно правдоподобное утверждение, что... - We will not prove here the very reasonable statement that...• Мы не предлагаем доказывать существование... - We do not propose to prove the existence of...• Мы только что доказали, что... - We have just proved that...• На этом пути мы надеемся доказать существенный результат. - We hope to prove a significant result along these lines.• Наконец, мы можем доказать, что... - Finally, we can prove that...• Остается доказать, (что)... - It remains to show (that)...• Подобное рассуждение доказало бы, что... - A similar argument would prove that...• Подобные принципы доказали свою полезность при проектировании... - Similar principles prove helpful in the design of...• Подобные рассуждения доказывают следующий результат. - Arguments of the same type prove the following result.• Подобные результаты убедительно доказывают, что... - Such results conclusively prove that...• Поняв это, мы можем доказать следующее. - With this understanding, we can prove the following.• Следовательно, можно доказать, что... -It is therefore justifiable to...• Следовательно, мы должны доказать лишь, что... - Hence we have only to prove that...• Сначала мы обязаны доказать следующую теорему. - We must first prove the following theorem.• Строго говоря, мы доказали лишь, что... - Strictly speaking, we have only proved that...;• Тем лее способом мы доказываем, что... - In the same way we prove that...• Теперь мы доказываем важную теорему, принадлежащую Банаху. - We now prove an important theorem due to Banach.• Теперь мы доказываем два фундаментальных результата. - We now prove two fundamental results.• Теперь мы доказываем один фундаментальный результат. - We now prove a fundamental result.• Теперь мы можем доказать следующую теорему. - This result enables us to prove the following theorem; We are now able to prove the following theorem; With this result in hand, we can prove the following theorem; With this understanding, we can prove the following theorem; Knowing this, we can prove the following theorem; We can now prove the following theorem; We are now in a position to prove the following theorem; The following theorem is now within our reach; We are now ready for the following theorem.• Теперь мы можем сформулировать и доказать... - We are now in a position to state and prove...• Теперь мы подготовлены к тому, чтобы сформулировать и доказать... - We are now equipped to state and prove...• Теперь это предположение доказано, так как... - This assumption has now been justified, since...• Часто бывает проще доказать, что... - It is often easier to prove that...• Чтобы доказать обратное, достаточно заметить, что... - То prove the converse it is sufficient to notice that...• Чтобы доказать теорему, достаточно показать, что... - То prove the theorem it is sufficient to show that...• Чтобы доказать это следствие... - То see the corollary, use Proposition 1 to obtain the needed estimation.• Чтобы доказать это утверждение, мы сделаем упрощающее предположение, что... - То prove this statement, we make the simplifying assumption that...• Чтобы доказать эту теорему, во-первых, предположим, что... - То prove the theorem, suppose first that...• Чтобы доказать эту теорему, недостаточно увидеть, что... - То prove this theorem it is not enough to observe that...• Чтобы это доказать, нам остается лишь показать, что... - То prove this we need only show that...• Это доказывает лишь то, что... - This proves only that...• Это доказывает первое утверждение. - This proves the first assertion.• Это доказывает, что... - This proves that...• Это можно доказать следующим образом. - This may be proved as follows.• Этот подход доказал свою полезность в определении ранних стадий... - This approach has proven useful in identifying the early stages of...• что и требовалось доказать (= ч. т. д. ) - Q. E. D. -
5 bewijzen
♦voorbeelden:iemands schuld bewijzen • prove someone guiltyeen stelling bewijzen • prove a propositionniet bewezen • unproved, unprovendit bewijst dat • this proves thatbewijs maar dat het niet zo is • prove the contrarydit bewijst toch afdoende dat hij bekwaam is • this is sufficient proof of his competenceiemand een slechte dienst bewijzen • do someone a bad turn/a disservice -
6 Poniatoff, Alexander Mathew
[br]b. 25 March 1892 Kazan District, Russiad. 24 October 1980[br]Russian (naturalized American in 1932) electrical engineer responsible for the development of the professional tape recorder and the first commercially-successful video tape recorder (VTR).[br]Poniatoff was educated at the University of Kazan, the Imperial College in Moscow, and the Technische Hochschule in Karlsruhe, gaining degrees in mechanical and electrical engineering. He was in Germany when the First World War broke out, but he managed to escape back to Russia, where he served as an Air Force pilot with the Imperial Russian Navy. During the Russian Revolution he was a pilot with the White Russian Forces, and escaped into China in 1920; there he found work as an assistant engineer in the Shanghai Power Company. In 1927 he immigrated to the USA, becoming a US citizen in 1932. He obtained a post in the research and development department of the General Electric Company in Schenectady, New York, and later at Dalmo Victor, San Carlos, California. During the Second World War he was involved in the development of airborne radar for the US Navy.In 1944, taking his initials to form the title, Poniatoff founded the AMPEX Corporation to manufacture components for the airborne radar developed at General Electric, but in 1946 he turned to the production of audio tape recorders developed from the German wartime Telefunken Magnetophon machine (the first tape recorder in the truest sense). In this he was supported by the entertainer Bing Crosby, who needed high-quality replay facilities for broadcasting purposes, and in 1947 he was able to offer a professional-quality product and the business prospered.With the rapid post-war boom in television broadcasting in the USA, a need soon arose for a video recorder to provide "time-shifting" of live TV programmes between the different US time zones. Many companies therefore endeavoured to produce a video tape recorder (VTR) using the same single-track, fixed-head, longitudinal-scan system used for audio, but the very much higher bandwidth required involved an unacceptably high tape-speed. AMPEX attempted to solve the problem by using twelve parallel tracks and a machine was demonstrated in 1952, but it proved unsatisfactory.The development team, which included Charles Ginsburg and Ray Dolby, then devised a four-head transverse-scan system in which a quadruplex head rotating at 14,400 rpm was made to scan across the width of a 2 in. (5 cm) tape with a tape-to-head speed of the order of 160 ft/sec (about 110 mph; 49 m/sec or 176 km/h) but with a longitudinal tape speed of only 15 in./sec (0.38 m/sec). In this way, acceptable picture quality was obtained with an acceptable tape consumption. Following a public demonstration on 14 April 1956, commercial produc-tion of studio-quality machines began to revolutionize the production and distribution of TV programmes, and the perfecting of time-base correctors which could stabilize the signal timing to a few nanoseconds made colour VTRs a practical proposition. However, AMPEX did not rest on its laurels and in the face of emerging competition from helical scan machines, where the tracks are laid diagonally on the tape, the company was able to demonstrate its own helical machine in 1957. Another development was the Videofile system, in which 250,000 pages of facsimile could be recorded on a single tape, offering a new means of archiving information. By 1986, quadruplex VTRs were obsolete, but Poniatoff's role in making television recording possible deserves a place in history.Poniatoff was President of AMPEX Corporation until 1955 and then became Chairman of the Board, a position he held until 1970.[br]Further ReadingA.Abrahamson, 1953, "A short history of television recording", Part I, JSMPTE 64:73; 1973, Part II, Journal of the Society of Motion Picture and Television Engineers, 82:188 (provides a fuller background).Audio Biographies, 1961, ed. G.A.Briggs, Wharfedale Wireless Works, pp. 255–61 (contains a few personal details about Poniatoff's escape from Germany to join the Russian Navy).E.Larsen, 1971, A History of Invention.Charles Ginsburg, 1981, "The horse or the cowboy. Getting television on tape", Journal of the Royal Television Society 18:11 (a brief account of the AMPEX VTR story).KF / GB-NBiographical history of technology > Poniatoff, Alexander Mathew
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